Answer:
14x² + 7y - 22
Step-by-step explanation:
Combine like terms.
5x² - 6y - 22 + 13y + 9x²
5x² + 9x² = 14x²
-6y + 13y = 7y
Reorder the terms.
14x² + 7y - 22
Hope that helps.
Answer:
66 dollars im pretty sure
Step-by-step explanation:
Answer:
20,000 pairs of barber scissors.
Step-by-step explanation:
The sales volume <em>V</em> for barber scissors is directly proportional to the size <em>S</em> of the sales force and inversely proportional to the price <em>P</em> of the scissors.
In other words, we can write that:

Where <em>k</em> is the constant of proportionality.
19,440 pairs were sold in 2013, when there was 54 salespeople and the price was $20 a pair. Hence, <em>V</em> = 19440 when <em>S</em> = 54 and <em>P</em> = 20. Substitute and determine the value of <em>k: </em>

Hence, our equation is:

We want to determine the sales forecast with 50 salespeople and a price of $18 a pair. Hence, <em>S</em> = 50 and <em>P</em> = 18:

In conclusion, 20,000 pairs of barber scissors can be expected to be sold.
Answer:
The integral
is 0.
Step-by-step explanation:
A parameterization of curve C can be:
X (t) = cost 0 <= t <= pi
Y (t) = sint 0 <= t <= pi
r (t) = costi + sintj
r '(t) = -sinti + costj
![Fds = [-costsin^3t + sintcos^3t] dt](https://tex.z-dn.net/?f=Fds%20%3D%20%5B-costsin%5E3t%20%2B%20sintcos%5E3t%5D%20dt)
The integral
is given by:
![\int _0^{\pi }\left[-costsin^3t + sintcos^3t dt\right]dt](https://tex.z-dn.net/?f=%5Cint%20_0%5E%7B%5Cpi%20%7D%5Cleft%5B-costsin%5E3t%20%2B%20sintcos%5E3t%20dt%5Cright%5Ddt)
